The given expression is
x^4 + 8x^3 + 17x^2 - 2x - 24
To find the factor, we would equate each factor in the option to zero and solve for x. We would substitute x into the polynomial. The option that would make the polynomial equal to zero is a factor. We have
Consider x + 3 = 0
x = - 3
Subsituting x = - 3 into the expression, it becomes
(-3)^4 + 8(-3)^3 + 17(-3)^2 - 2(-3) - 24 = 0
Thus, x + 3 is a factor
The correct option is
B. x + 3